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Finding the Fourth Proportional to 109,574.16, 164,361.24 and 26,468.16

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Solution

The fourth proportional to 109,574.16, 164,361.24 and 26,468.16 is: 39,702.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,574.16 : 164,361.24 = 26,468.16 : x
  2. Step 2: Convert to fraction form
    109,574.16/164,361.24 = 26,468.16/x
  3. Step 3: Cross multiply
    109,574.16x = 164,361.24 × 26,468.16
  4. Step 4: Simplify right side
    109,574.16x = 4,350,339,598.12
  5. Step 5: Solve for x
    x = 4,350,339,598.12/109,574.16
  6. Step 6: Final answer
    x = 39,702.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.